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Finding the Third Proportional to 815,424 and 1,199,169

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Solution

The third proportional to 815,424 and 1,199,169 is: 1,763,507.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,424 : 1,199,169 = 1,199,169 : x
  2. Step 2: Convert to fraction form
    815,424/1,199,169 = 1,199,169/x
  3. Step 3: Cross multiply
    815,424x = 1,199,169 × 1,199,169
  4. Step 4: Simplify right side
    815,424x = 1,438,006,290,561
  5. Step 5: Solve for x
    x = 1,438,006,290,561/815,424
  6. Step 6: Final answer
    x = 1,763,507.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.